Lingkaran dan Garis Singgung
P = (x1,y1) = (3,1)
Menyinggung garis ax + by + c = 0
garis 3x + 4y + 7 = 0
Jarak P ke garis = jari-jari
r = |ax1 + by1 + c| / √(a² + b²)
r = |3.3 + 4.1 + 7| / √(3² + 4²)
r = 20/5
r = 4
Persamaan lingkaran dg P(3,1) dan r = 4 :
(x - 3)² + (y - 1)² = 4²
x² - 6x + 9 + y² - 2y + 1 - 16 = 0
x² + y² - 6x - 2y - 6 = 0
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Lingkaran dan Garis Singgung
P = (x1,y1) = (3,1)
Menyinggung garis ax + by + c = 0
garis 3x + 4y + 7 = 0
Jarak P ke garis = jari-jari
r = |ax1 + by1 + c| / √(a² + b²)
r = |3.3 + 4.1 + 7| / √(3² + 4²)
r = 20/5
r = 4
Persamaan lingkaran dg P(3,1) dan r = 4 :
(x - 3)² + (y - 1)² = 4²
x² - 6x + 9 + y² - 2y + 1 - 16 = 0
x² + y² - 6x - 2y - 6 = 0